Least Common Multiple of 9727 and 9732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9727 and 9732 the smallest integer that is 94663164 that is divisible by both numbers.

Least Common Multiple (LCM) of 9727 and 9732 is 94663164.

LCM(9727,9732) = 94663164

LCM of 9727 and 9732

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9727 and 9732

LCM of 9727 and 9732 is 94663164

Least common multiple can be found by multiplying the highest exponent prime factors of 9727 and 9732. First we will calculate the prime factors of 9727 and 9732.

Prime Factorization of 9727


71 9727
137 137
1

Prime factors of 9727 are 71,137. Prime factorization of 9727 in exponential form is:

9727 = 711×1371

Prime Factorization of 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2, 3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 9727 and 9732.

LCM(9727,9732) = 22×31×711×1371×8111
LCM(9727,9732) = 94663164

Factors of 9727

List of positive integer factors of 9727 that divides 9727 without a remainder.

1, 71, 137, 9727

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732

Least Common Multiple of 9727 and 9732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9727 and 9732, than apply into the LCM equation.

GCF(9727,9732) = 1
LCM(9727,9732) = ( 9727 × 9732) / 1
LCM(9727,9732) = 94663164 / 1
LCM(9727,9732) = 94663164

Properties of LCM 9727 and 9732

(i) The LCM of 9732 and 9727 is associative

LCM of 9727 and 9732 = LCM of 9732 and 9727

Related Least Common Multiples of 9727

Related Least Common Multiples of 9732

Frequently Asked Questions on LCM of 9727 and 9732

1. What is the LCM of 9727 and 9732?

Answer: LCM of 9727 and 9732 is 94663164.

2. What are the Factors of 9727?

Answer: Factors of 9727 are 1, 71, 137, 9727. There are 4 integers that are factors of 9727. The greatest factor of 9727 is 9727.

3. What are the Factors of 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the LCM of 9727 and 9732?

Answer:

Least Common Multiple of 9727 and 9732 = 94663164

Step 1: Find the prime factorization of 9727

9727 = 71 x 137

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 94663164 = 2 x 2 x 3 x 71 x 137 x 811

Step 4: Therefore, the least common multiple of 9727 and 9732 is 94663164.